(3z-2)(3z+8)=

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Solution for (3z-2)(3z+8)= equation: 


Simplifying
(3z + -2)(3z + 8) = 0

Reorder the terms:
(-2 + 3z)(3z + 8) = 0

Reorder the terms:
(-2 + 3z)(8 + 3z) = 0

Multiply (-2 + 3z) * (8 + 3z)
(-2(8 + 3z) + 3z * (8 + 3z)) = 0
((8 * -2 + 3z * -2) + 3z * (8 + 3z)) = 0
((-16 + -6z) + 3z * (8 + 3z)) = 0
(-16 + -6z + (8 * 3z + 3z * 3z)) = 0
(-16 + -6z + (24z + 9z2)) = 0

Combine like terms: -6z + 24z = 18z
(-16 + 18z + 9z2) = 0

Solving
-16 + 18z + 9z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-8 + -3z)(2 + -3z) = 0


Subproblem 1
Set the factor '(-8 + -3z)' equal to zero and attempt to solve:

Simplifying
-8 + -3z = 0

Solving
-8 + -3z = 0

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -3z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3z = 0 + 8
-3z = 0 + 8

Combine like terms: 0 + 8 = 8
-3z = 8

Divide each side by '-3'.
z = -2.666666667

Simplifying
z = -2.666666667

Subproblem 2
Set the factor '(2 + -3z)' equal to zero and attempt to solve:

Simplifying
2 + -3z = 0

Solving
2 + -3z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3z = 0 + -2
-3z = 0 + -2

Combine like terms: 0 + -2 = -2
-3z = -2

Divide each side by '-3'.
z = 0.6666666667

Simplifying
z = 0.6666666667
Solution
z = {-2.666666667, 0.6666666667}

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